===== Transport coefficients ===== ==== Set ==== | @#55CCEE: context | @#55CCEE: $ n,u,Q,T,\mathrm{P},K $ ... density, mean velocity, heat flux, pressure tensor, temperature, external force | | @#FFBB00: definiendum | @#FFBB00: $ \langle D,\kappa,p,\eta,\zeta \rangle $ | These are matrices or numbers, and they might even depend on any other quantities. | @#55EE55: postulate | @#55EE55: $ u = - D\ \frac{\nabla n}{n} $ | | @#55EE55: postulate | @#55EE55: $ Q = - \kappa\ \nabla T $ | | @#DDDDDD: range | @#DDDDDD: $ \Lambda_{ik} = \frac{1}{2}\left( \frac{\partial}{\partial x_k}u_i + \frac{\partial}{\partial x_i}u_k \right) $ | | @#55EE55: postulate | @#55EE55: $ P = p\ I - 2\ \eta\ \Lambda - (\zeta+\frac{2}{3}\eta)\ \nabla u $ | | @#55EE55: postulate | @#55EE55: $ u = \mu\ K $ | ==== Discussion ==== ==== Parents ==== === Context === [[Macroscopic observables from kinetic theory]]